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Finding the Fourth Proportional to 129.07, 177.82 and 123.31

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Solution

The fourth proportional to 129.07, 177.82 and 123.31 is: 169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.07 : 177.82 = 123.31 : x
  2. Step 2: Convert to fraction form
    129.07/177.82 = 123.31/x
  3. Step 3: Cross multiply
    129.07x = 177.82 × 123.31
  4. Step 4: Simplify right side
    129.07x = 21,926.98
  5. Step 5: Solve for x
    x = 21,926.98/129.07
  6. Step 6: Final answer
    x = 169.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.